scholarly journals Towards next-to-leading order transport coefficients from the four-particle irreducible effective action

2010 ◽  
Vol 81 (6) ◽  
Author(s):  
M. E. Carrington ◽  
E. Kovalchuk
Keyword(s):  
Effective Action ◽  
Transport Coefficients ◽  
Leading Order

scholarly journals Wiedemann-Franz laws and Sl(2, ℤ) duality in AdS/CMT holographic duals and one-dimensional effective actions for them

2021 ◽  
Vol 2021 (5) ◽  
Author(s):  
Dmitry Melnikov ◽  
Horatiu Nastase
Keyword(s):  
Quantum Hall Effect ◽  
Effective Action ◽  
Transport Coefficients ◽  
Quantum Hall ◽  
Dual Theory ◽  
One Dimensional ◽  
Integer Quantum Hall Effect ◽  
Weakly Coupled ◽  
Holographic Duals ◽  
Integer Quantum

Abstract In this paper we study the Wiedemann-Franz laws for transport in 2+1 dimensions, and the action of Sl(2, ℤ) on this transport, for theories with an AdS/CMT dual. We find that Sl(2, ℤ) restricts the RG-like flow of conductivities and that the Wiedemann-Franz law is $$ \overline{L}=\overline{\kappa}/\left( T\sigma \right)={cg}_4^2\uppi /3 $$ L ¯ = κ ¯ / Tσ = cg 4 2 π / 3 , from the weakly coupled gravity dual. In a self-dual theory this value is also the value of L = κ/(Tσ) in the weakly coupled field theory description. Using the formalism of a 0+1 dimensional effective action for both generalized SY Kq models and the AdS4 gravity dual, we calculate the transport coefficients and show how they can be matched at large q. We construct a generalization of this effective action that is invariant under Sl(2, ℤ) and can describe vortex conduction and integer quantum Hall effect.

scholarly journals Forward Higgs production within high energy factorization in the heavy quark limit at next-to-leading order accuracy

2021 ◽  
Vol 81 (2) ◽  
Author(s):  
M. Hentschinski ◽  
K. Kutak ◽  
A. van Hameren
Keyword(s):  
Effective Action ◽  
High Energy ◽  
Higgs Production ◽  
Explicit Calculation ◽  
Leading Order ◽  
Forward Region ◽  
Transverse Momentum Dependent ◽  
Heavy Quark Limit ◽  
Proper Definition ◽  
Definition Of

AbstractWe use Lipatov’s high energy effective action to determine the next-to-leading order corrections to Higgs production in the forward region within high energy factorization making use of the infinite top mass limit. Our result is based on an explicit calculation of real corrections combined with virtual corrections determined earlier by Nefedov. As a new element we provide a proper definition of the desired next-to-leading order coefficient within the high energy effective action framework, extending a previously proposed prescription. We further propose a subtraction mechanism to achieve for this coefficient a stable cancellation of real and virtual infra-red singularities in the presence of external off-shell legs. Apart from its relevance for direct phenomenological studies, such as high energy resummation of Higgs $$+$$ + jet configurations, our result will be further of use for the study of transverse momentum dependent factorization in the high energy limit.

scholarly journals On the Superstrings-Induced Four-Dimensional Gravity and Its Applications to Cosmology

2008 ◽  
Vol 2008 ◽  
pp. 1-27 ◽  
Author(s):  
Masao Iihoshi ◽  
Sergei V. Ketov
Keyword(s):  
Effective Action ◽  
Leading Order ◽  
De Sitter ◽  
Frw Cosmology ◽  
Spacetime Singularity ◽  
Spacetime Curvature ◽  
The Status ◽  
Dimensional Gravity ◽  
Definition Of ◽  
M Theory

We review the status of the fourth-order (quartic in the spacetime curvature) terms induced by superstrings/M-theory (compactified on a warped torus) in the leading order with respect to the Regge slope parameter, and study their (nonperturbative) impact on the evolution of the Hubble scale in the context of the four-dimensional FRW cosmology. After taking into account the quantum ambiguities in the definition of the off-shell superstring effective action, we propose the generalized Friedmann equations, find the existence of their (de Sitter) exact inflationary solutions without a spacetime singularity, and constrain the ambiguities by demanding stability and the scale factor duality invariance of our solutions. The most naive (Bel-Robinson tensor squared) quartic terms are ruled out, thus giving the evidence for the necessity of extra quartic (Ricci tensor-dependent) terms in the off-shell gravitational effective action for superstrings. Our methods are generalizable to the higher orders in the spacetime curvature.

scholarly journals Next-to-leading order corrections to the gluon-induced forward jet vertex from the high energy effective action

2013 ◽  
Vol 87 (7) ◽  
Author(s):  
G. Chachamis ◽  
M. Hentschinski ◽  
J. D. Madrigal Martínez ◽  
A. Sabio Vera
Keyword(s):  
Effective Action ◽  
High Energy ◽  
Leading Order
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